olymmath

HMMT 2019 U2

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There are 100 people in a room with ages 1,2,…,1001,2, \ldots, 100. A pair of people is called cute if each of them is at least seven years older than half the age of the other person in the pair. At most how many pairwise disjoint cute pairs can be formed in this room?

Dataset text NuminaMath olympiads. Quoted with source.

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43

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